6x^2+2.25x+0.25=0

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Solution for 6x^2+2.25x+0.25=0 equation: 


Simplifying
6x2 + 2.25x + 0.25 = 0

Reorder the terms:
0.25 + 2.25x + 6x2 = 0

Solving
0.25 + 2.25x + 6x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.04166666667 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-0.04166666667' to each side of the equation.
0.04166666667 + 0.375x + -0.04166666667 + x2 = 0 + -0.04166666667

Reorder the terms:
0.04166666667 + -0.04166666667 + 0.375x + x2 = 0 + -0.04166666667

Combine like terms: 0.04166666667 + -0.04166666667 = 0.00000000000
0.00000000000 + 0.375x + x2 = 0 + -0.04166666667
0.375x + x2 = 0 + -0.04166666667

Combine like terms: 0 + -0.04166666667 = -0.04166666667
0.375x + x2 = -0.04166666667

The x term is 0.375x.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375x + 0.03515625 + x2 = -0.04166666667 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -0.04166666667 + 0.03515625

Combine like terms: -0.04166666667 + 0.03515625 = -0.00651041667
0.03515625 + 0.375x + x2 = -0.00651041667

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -0.00651041667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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